REAT: A Reflective Experience-Augmented Tutoring Framework for Multi-turn Mathematical Instruction

Jianheng Zhou, Chaoli Zhang, Xingjun Wei, Xinliang Zhou, Giancarlo Fortino, Xing Fan, Yanfeng Wang, Qingsong Wen, Haoyang Li


Abstract
Current Large Language Models (LLMs) excel at solving complex mathematical problems, yet this proficiency does not inherently translate into effective tutoring. While advanced LLM tutors may leverage multi-agent frameworks or fine-tuning, most still lack a mechanism to systematically accumulate and reuse pedagogical experience over time, limiting their adaptability to diverse student needs during fluid, multi-turn interactions. To bridge this gap, we propose the Reflective Experience-Augmented Tutoring (REAT) framework, which couples experience distillation from historical dialogues with real-time adaptive retrieval. Driven by a multi-agent Observer-Critic-Mentor (OCM) distillation pipeline, REAT reviews past conversational trajectories and distills raw interactions into structured, problem-agnostic pedagogical experiences. During live tutoring, a state-aware retrieval module injects these curated experiences to provide adaptive scaffolding based on the student’s cognitive state. Experiments demonstrate that the proposed framework significantly outperforms both prompt-only and supervised fine-tuning (SFT) baselines, particularly in improving complex, low-scoring teaching scenarios. Crucially, the distilled experiences exhibit robust generalization across diverse model architectures and mathematical datasets.
Anthology ID:
2026.emnlp-main.605
Volume:
Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
EMNLP
SIG:
SIGDAT
Publisher:
Association for Computational Linguistics
Note:
Pages:
13945–13967
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URL:
https://aclanthology.org/2026.emnlp-main.605/
DOI:
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Cite (ACL):
Jianheng Zhou, Chaoli Zhang, Xingjun Wei, Xinliang Zhou, Giancarlo Fortino, Xing Fan, Yanfeng Wang, Qingsong Wen, and Haoyang Li. 2026. REAT: A Reflective Experience-Augmented Tutoring Framework for Multi-turn Mathematical Instruction. In Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing, pages 13945–13967, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
REAT: A Reflective Experience-Augmented Tutoring Framework for Multi-turn Mathematical Instruction (Zhou et al., EMNLP 2026)
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PDF:
https://aclanthology.org/2026.emnlp-main.605.pdf